8540819200 has 108 divisors (see below), whose sum is σ = 22252803160. Its totient is φ = 3236474880.

The previous prime is 8540819153. The next prime is 8540819213. The reversal of 8540819200 is 29180458.

It is a self number, because there is not a number n which added to its sum of digits gives 8540819200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86482 + ... + 156718.

Almost surely, 2^8540819200 is an apocalyptic number.

8540819200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8540819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11126401580).

8540819200 is an abundant number, since it is smaller than the sum of its proper divisors (13711983960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8540819200 is a wasteful number, since it uses less digits than its factorization.

8540819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70282 (or 70263 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 8540819200 is about 92416.5526299266. The cubic root of 8540819200 is about 2044.0891961336.

Adding to 8540819200 its reverse (29180458), we get a palindrome (8569999658).

The spelling of 8540819200 in words is "eight billion, five hundred forty million, eight hundred nineteen thousand, two hundred".